Physics Homework Solutions

C-14 Dating

A very old specimen of wood contains 10^12 atoms of carbon: a) How many C-14 atoms did it contain in the year of 9474 B.C.? b) How many C-14 atoms did it contain in 2004 A.D.?

Radioactivity

A radioactive sample consists of a mixture of S-35 and P-32. Initially, 5% of the activity is due to the S-35 and 95% due to the P-32. At what subsequent time will the activities of the two radionuclides in the sample be equal?

Specific Activity

a) Tritium (H-3) has a radiological half-life of 12.3 years. What is its specific activity in units of Bq/g and Ci/g? b) A 0.2 gram sample of Kr-85 gas, which decays into stable Rb-85, is accidentally broken and escapes into a sealed warehouse measuring 40 x 30 x 20 m. What is the specific activity of the air inside in Bq/cm ...continues

Radioactive decay as a power source

Strontium-90 is to be used in a radioisotopic thermoelectric generator (RTG) for powering a navigation beacon located in the arctic. a) How much of the Sr-90 activity is required to generate 50 W of electric power if the conversion efficiency from heat to electricity is 30%? Tip: You must take into account the fact that Sr ...continues

Activity and activation cross section.

A cobalt foil, 1 cm diameter x 0.1 mm thick, is irradiated in a mean thermal flux of 10^11 n/cm^2-s for a period of 7 days. If the activation cross section is 36 barns and if the density of cobalt is 8.9 g/cm^3, what is the activity (Bq) at the end of the irradiation period?

Beta Identification

You are a health physicist and you find an unknown contaminant that proves to be a pure beta emitter. To try to identify the contaminant, you attempt to determine the maximum energy of the beta rays. You use a GM tube with a thin (0.1 mm, ?=2.7 g/cm^3) end window. You find that 1.74 mm stops all of the beta particles. The di ...continues

Alpha & Beta Penetration

a) How much energy does an alpha particle require to penetrate the minimal protective epidermal layer of skin (thickness~7mg/cm^2)? b) How much energy does an beta particle require to penetrate the minimal protective epidermal layer of skin (thickness~7mg/cm^2)?

Gamma Flux and Absorption

A collimated beam of 200 keV gamma radiation delivers an incident energy flux of 2 J m^-2 s^-1 to a lead shield 1 g cm^-2 thick. a. What is the incident photon flux in photons cm^-2 s^-1? b. What is the rate of energy absorption in the shield in both erg g^-1 s^-1, J kg^-1 s^-1 and Gy s^-1

Mixed Energy Photon Beam

A collimated gamma ray beam consists of equal numbers of 0.1 MeV and 1.0 MeV photons. If the beam enters a 15 cm thick concrete shield, what is the relative portion of 1 MeV photons to 0.1 MeV photons in the emergent beam?

Radiation Heating

Assuming that the specific heat of the body is 1 cal g^-1 degrees C^-1, a) Plot the approximate temperature rise as a function of whole body dose ranging from 100 mGy to 10 Gy b) What absorbed dose would correspond to a potentially lethal heat body burden, assuming that a body temperature rise of 5 degrees C (normal body ...continues

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